Course Bulletin - for Batch Year 2003 *Physics 2 Yr M.Sc * * Specialization : None * * First Year * * Second Semester * * Core Course* PH 408 Mathematical Physics II 6.0 PH 412 Physics Lab II 6.0 PH 414 Electronics Laboratory 3.0 PH 422 Quantum Mechanics II 8.0 PH 424 Electromagnetic Theory I 8.0 PH 430 Introduction to Condensed Matter Physics II 6.0 PH 440 Introduction to Atomic and Molecular Physics 8.0 Course Contents Course Bulletin - for Batch Year 2003 *Physics 2 Yr M.Sc * * Specialization : None * * First Year * * Second Semester * *Course Code: * PH 408 *Title: * Mathematical Physics II *Credits: * 6.0 *Pre-requisite: * *Description: * Functions of complex variables, zeros, poles and branch cuts. Applications of residue theorem. Analytic continuations. Dispersion relations. Asymptotic series. Method of steepest descent. Gamma, Beta and error functions and their asymptotic series. Ordinary differential equations, second order homogeneous and inhomogeneous equations, Wronskian, general solutions. Adjoint of a differential equation. Ordinary and singular points. Series solutions. Gauss hypergeometric and confluent hypergeometric equations. Sturm-Liouville problem. Legendre, Hermite and the associated polynomials, their differential equations, generating functions. Bessel functions, spherical Bessel functions; first and second kinds; differential equations. Integral representations of hypergeometric, confluent hypergeometric and other special functions. *Text/References: * F.A. Hinchey, Introduction to applicable Mathematics, part I, Wiley Eastern. P. Dennery and A. Krzywicki, Mathematics for Physicists, Harper and Row. P. Morse and H. Feshbach, Methods of Theoretical Physics, Vol.1, McGraw Hill. *Course Code: * PH 412 *Title: * Physics Lab II *Credits: * 6.0 *Pre-requisite: * *Description: * Energy gap of semiconductors, Hall effect, Registivity of ferrites, Transition of ferroelectrics, Hysterisis of wire and rod photo conductivity. - emission spectrum, absorption spectrum of iodine, Rotation spectrum of iodine, Rotation spectrum of cynogar, AlO vibrational spectrum, Gaseous discharge, Densitometry. *Text/References: * *Course Code: * PH 414 *Title: * Electronics Laboratory *Credits: * 3.0 *Pre-requisite: * *Description: * Logic gate circuits: all six gates and truth table verification; R-S and J-K flips using NOR-NAND gates, Design and study of common emitter amplifier, two stage feeddback amplifier, common collector and FET apmlifier, Use if IC741: (a) Inverting amplifier (b) Integulator (c) Multivibrator (d) Weinbridge oscillator, Unregulated and regulated power supply: estimation of ripple factor for different filters. *Text/References: * *Course Code: * PH 422 *Title: * Quantum Mechanics II *Credits: * 8.0 *Pre-requisite: * *Description: * Approximation methods in Quantum Mechanics. WKB method. Connection formulae. Bohr"s quantization condition. Penetration through a pontential barrier. Time independent perturbation theory. Zeeman and Stark effects, Convergence of the perturbation series. Time dependent perturbation theory. Transition, scattering probability. Absorption and emission of radiation, Einstein coefficients. Variational procedure. Applications to Helium atom and many particle systems. Theory of potential scattering. Cross section, method of partial waves. *Text/References: * E. Merzbacher, Quantum Mechanics, Wiley, 1970 P.M. Mathews and K. Venkatesan, A text book of Quantum Mechnanics, Tata McGraw Hill, 1976. A. Messiah, Quantum Mechanics, North Holland. L. Landau and E. Liftshitz, Quantum Mechanics, Pergamon 1965. *Course Code: * PH 424 *Title: * Electromagnetic Theory I *Credits: * 8.0 *Pre-requisite: * *Description: * Electrostatics. Multipole expansions. Fields in dielectric media. Magnetic properties of matter. Boundary value problems. Wave equation. Reflection, refraction and propagation of waves in dispersive media. Postulates of special relativity. Lorentz transformation. Relativistic Kinematics. *Text/References: * J. Reitz and F.J. Milford, Foundations of Electromagnetic theory, Addison Wesley. C.A. Coulson, Electricity, Oliver and Boyd A.P. French, Special Relativity,Nelson, London. *Course Code: * PH 430 *Title: * Introduction to Condensed Matter Physics II *Credits: * 6.0 *Pre-requisite: * *Description: * *Text/References: * *Course Code: * PH 440 *Title: * Introduction to Atomic and Molecular Physics *Credits: * 8.0 *Pre-requisite: * *Description: * *Text/References: *